The approach to consistency in the analytic hierarchy process

20Citations
Citations of this article
14Readers
Mendeley users who have this article in their library.

Abstract

In his first book on the Analytic Hierarchy Process, T. L. Saaty left open several mathematical questions about the structure of the set of positive reciprocal matrices. In this paper we consider three of these questions: Given an eigenvector and all matrices which give rise to it, can one go from one of them to any order by making small perturbations in the entries? Given two positive column vectors v and w is there a perturbation which carries the set of all positive reciprocal matrices with principal right eigenvector v to the set of positive reciprocal matrices with principal right eigenvector w? Does the set of positive reciprocal n×n matrices whose left and right principal eigenvectors are reciprocals coincide with the set of consistent matrices for n≥4? © 1987.

Cite

CITATION STYLE

APA

Deturck, D. M. (1987). The approach to consistency in the analytic hierarchy process. Mathematical Modelling, 9(3–5), 345–352. https://doi.org/10.1016/0270-0255(87)90491-X

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free